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Finding the Fourth Proportional to 25,686.41, 35,443.68 and 14,354.48

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Solution

The fourth proportional to 25,686.41, 35,443.68 and 14,354.48 is: 19,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.41 : 35,443.68 = 14,354.48 : x
  2. Step 2: Convert to fraction form
    25,686.41/35,443.68 = 14,354.48/x
  3. Step 3: Cross multiply
    25,686.41x = 35,443.68 × 14,354.48
  4. Step 4: Simplify right side
    25,686.41x = 508,775,595.69
  5. Step 5: Solve for x
    x = 508,775,595.69/25,686.41
  6. Step 6: Final answer
    x = 19,807.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.